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Finding the Fourth Proportional to 11,787.49, 16,266.49 and 6,482.22

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Solution

The fourth proportional to 11,787.49, 16,266.49 and 6,482.22 is: 8,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.49 : 16,266.49 = 6,482.22 : x
  2. Step 2: Convert to fraction form
    11,787.49/16,266.49 = 6,482.22/x
  3. Step 3: Cross multiply
    11,787.49x = 16,266.49 × 6,482.22
  4. Step 4: Simplify right side
    11,787.49x = 105,442,966.81
  5. Step 5: Solve for x
    x = 105,442,966.81/11,787.49
  6. Step 6: Final answer
    x = 8,945.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.